The modified model of Koiter's type for nonlinearly elastic shell

Shen Xiaoqin; Li Kaitai; Ming Yang

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The modified model of Koiter's type for nonlinearly elastic shell

机译：非线性弹性壳体的Koiter型修正模型

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摘要

In this paper, we proposed a modified model of Koiter's type for nonlinearly elastic shell. The change of metric tensor and the change of curvature tensor play an important role in constructing the linearly and nonlinearly elastic shell model of Koiter's type. The approximate expressions of them once were proposed by Ciarlet. In this paper, the exact full expressions of the change of metric tensor and the change of curvature tensor are provided by tensor analysis. The former coincides with Ciarlet's expression. And the latter is more exact than Ciarlet's expression. Thus the modified model is better than Ciarlet's model. At the same time, a numerical experiment of special hemispherical shell is provided to validate the modified model of Koiter's type.

机译：在本文中，我们为非线性弹性壳提出了一种改进的Koiter型模型。度量张量的变化和曲率张量的变化在构造Koiter型线性和非线性弹性壳模型中起着重要作用。他们的近似表达曾经由Ciarlet提出。本文通过张量分析提供了度量张量变化和曲率张量变化的精确完整表达式。前者与Ciarlet的表达相吻合。后者比Ciarlet的表达更为精确。因此，改进的模型优于Ciarlet的模型。同时，提供了一个特殊的半球形壳的数值实验，以验证改进的Koiter型模型。

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来源
《Applied Mathematical Modelling》 |2010年第11期|3527-3535|共9页
作者
Shen Xiaoqin; Li Kaitai; Ming Yang;
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作者单位

School of Sciences, Xi'an University of Technology, Xi'an 770054, PR China;

rnSchool of Sciences, Xi'an Jiaotong University, Xi'an 710049, PR China;

rnRoad Traffic Detection and Equipment Engineering Research Center, Chang'an University, Xi'an 710064, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
nonlinearly elastic shell; Koiter's type; metric tensor; curvature tensor;

机译：非线性弹性壳Koiter的类型;公制张量曲率张量;

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专利

1. A mathematical model of Koiter's type for a nonlinearly elastic "almost spherical" shell [J] . Ciarlet Philippe G., Mardare Cristinel Comptes rendus. Mathematique . 2016,第12期

机译：非线性弹性“几乎球形”壳体的Koiter型数学模型
2. Nonlinear Donati compatibility conditions on a surface - Application to the intrinsic approach for Koiter's model of a nonlinearly elastic shallow shell [J] . Ciarlet Philippe G., Iosifescu Oana Mathematical models and methods in applied sciences . 2017,第2期

机译：表面上的非线性Donati兼容条件 - 应用于非线性弹性浅壳模型的内在方法
3. An existence theorem for a two-dimensional nonlinear shell model of Koiter's type [J] . Ciarlet Philippe G., Mardare Cristinel Mathematical models and methods in applied sciences . 2018,第14期

机译：koiter型二维非线性壳模型的存在定理
4. Nonlinear Shell Models of Koiter's Type [C] . Philippe G. Ciarlet International Symposium on Mathematical Modeling and Numerical Stimulation in Continuum Mechanics . 2002

机译：Koiter类型的非线性壳体模型
5. GEOMETRIC AND MATERIAL NONLINEAR DYNAMIC ANALYSIS OF COMPLEX SHELLS (FINITE ELEMENTS, ELASTIC-VISCOPLASTICITY, TIRE INFLATION, CONTACT). [D] . SAIGAL, SUNIL. 1985

机译：复杂壳的几何和材料非线性动力学分析（有限元，弹性粘弹，轮胎充气，接触）。
6. Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium [O] . Vu Tho Hung, Dang Thuy Dong, Nguyen Thi Phuong, 2020

机译：弹性介质包围螺旋瓦楞三明治FGM圆柱壳的非线性屈曲行为
7. A nonlinear shell model of Koiter's type [O] . Philippe G. Ciarlet, Cristinel Mardare 2018

机译：Koiter类型的非线性壳模型
8. A Koiter-Type Method for Finite Element Analysis of Nonlinear Structural Behavior. Volume I. The Modified Structure Method [R] . Haftka, R. T., Mallett, R. H., Nachbar, W. 1970

机译：非线性结构行为有限元分析的Koiter型方法。第一卷。改进的结构方法

The modified model of Koiter's type for nonlinearly elastic shell

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